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#### Recycling Krylov subspaces for sequences of linear systems

(Siam Publications, 2006)

Many problems in science and engineering require the solution of a long sequence of slowly changing linear systems. We propose and analyze two methods that significantly reduce the total number of matrix-vector products ...

#### Preconditioners for generalized saddle-point problems

(Siam Publications, 2006)

We propose and examine block-diagonal preconditioners and variants of indefinite preconditioners for block two-by-two generalized saddle-point problems. That is, we consider the nonsymmetric, nonsingular case where the ( ...

#### Draw resonance revisited

(Siam Publications, 2006)

We consider the problem of isothermal fiber spinning in a Newtonian fluid with no inertia. In particular, we focus on the effect of the downstream boundary condition. For prescribed velocity, it is well known that an ...

#### Short wave stability for inviscid shear flow

(Siam Publications, 2008)

We consider the linear stability of inviscid shear flows. While it is well known that discontinuous velocity profiles lead to short wave instabilities and ill-posedness, known examples of instability for smooth profiles ...

#### On a stochastic hyperbolic system in linear elasticity

(Siam Publications, 2000-08)

In this paper we discuss the Cauchy problem for linear elasticity with a space-time white noise forcing term. We show that the solution can be represented by a formula analogous to the Riesz formula for solutions of a wave ...

#### Invariant measures for the tochastic von Karman plate equation

(Siam Publications, 2005)

We prove the existence of an invariant measure for the von Karman plate equation with random noise. The nonlinear term which symbolizes the von Karman equation inhibits the standard procedure for the existence of an invariant ...

#### Structured noncommutative multidimensional linear systems

(Siam Publications, 2005)

We introduce a class of multidimensional linear systems with evolution along a free semigroup. The transfer function for such a system is a formal power series in noncommuting indeterminates. Standard system-theoretic ...

#### Glucose modulates Ca2+ (i) oscillations in pancreatic islets via ionic and glycolytic mechanisms

(CELL PRESS, 2006-09)

Pancreatic islets of Langerhans display complex intracellular calcium changes in response to glucose that include fast (seconds), slow (similar to 5 min), and mixed fast/slow oscillations; the slow and mixed oscillations ...